Lie bialgebra structures on the W-algebra W(2,2)

2008/01/27 by Junbo Li, Li, Junbo, Yucai Su +1
Mathematics · Physics and Astronomy · #17B05 #17B37 #17B65 #17B68 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.0801.4144

openalex publication_date 2008/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Verma modules over the W-algebra W(2,2) were considered by Zhang and Dong, while the Harish-Chandra modules and irreducible weight modules over the same algebra were classified by Liu and Zhu etc. In the present paper we shall investigate the Lie bialgebra structures on the referred algebra, which are shown to be triangular coboundary.

Related

• Quantizations of the W Algebra W(2,2)
• Lie super-bialgebra structures on a class of generalized super W-algebra \mathfrakL
• Lie bialgebra structures on the Lie algebra \widetilde\fraksl₂(C_q[x,y])
• Classification of Harish-Chandra modules over the W-algebra W(2,2)
• Lie bialgebra structures on the extended affine Lie algebra \widetildesl₂(ℂ_q)